Infrared propagators of Yang-Mills theory from perturbation theory

Abstract

We show that the correlation functions of ghosts and gluons for the pure Yang-Mills theory in Landau gauge can be accurately reproduced for all momenta by a one-loop calculation. The key point is to use a massive extension of the Faddeev-Popov action. The agreement with lattice simulation is excellent in d=4. The one-loop calculation also reproduces all the characteristic features of the lattice simulations in d=3 and naturally explains the pecularities of the propagators in d=2.

arXiv comment4 pages, 4 figures.

References in corpus (16)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Infrared behaviour and fixed points in Landau gauge QCD
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Renormalization flow of Yang-Mills propagators
• Positivity violation for the lattice Landau gluon propagator
• The anomalous dimension of the composite operator A^2 in the Landau gauge
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Is the QCD ghost dressing function finite at zero momentum ?
• Gauged supersymmetries in Yang-Mills theory

Cited by in corpus (171)

• The QCD Running Coupling
• Landau gauge Yang-Mills correlation functions
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• An Infrared Safe perturbative approach to Yang-Mills correlators
• The dynamical origin of the refinement of the Gribov-Zwanziger theory
• Three-point correlation functions in Yang-Mills theory
• Lifting the Gribov ambiguity in Yang-Mills theories
• Spectral functions of confined particles
• Reconstructing the gluon
• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• Deconfinement transition in SU(N) theories from perturbation theory
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Two-point correlation functions of QCD in the Landau gauge
• A Dyson-Schwinger study of the four-gluon vertex
• Correlation functions of Landau gauge Yang-Mills theory
• Gluon propagator and three-gluon vertex with dynamical quarks
• Analytical study of Yang-Mills theory in the infrared from first principles
• Non-perturbative finite-temperature Yang-Mills theory
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Gauge Sector Dynamics in QCD
• The lattice gluon propagator in renormalizable $\xi$ gauges
• A local and BRST-invariant Yang-Mills theory within the Gribov horizon
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• QCD Running Couplings and Effective Charges
• Analytic structure of QCD propagators in Minkowski space
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• The Gribov horizon and spontaneous BRST symmetry breaking
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Covariant gauges without Gribov ambiguities in Yang-Mills theories
• Surprises in the $O(N)$ models: nonperturbative fixed points, large $N$ limit and multi-criticality
• Nonperturbative study of the four gluon vertex
• Yang-Mills correlators at finite temperature: A perturbative perspective
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• The low-momentum ghost dressing function and the gluon mass
• Small parameters in infrared quantum chromodynamics
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• Schwinger mechanism in linear covariant gauges
• Ghost dynamics in the soft gluon limit
• On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Gluon confinement, i-particles and BRST soft breaking
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Evidence of ghost suppression in gluon mass dynamics
• Emergence of mass in the gauge sector of QCD
• Infrared facets of the three-gluon vertex
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• The analytic structure of the lattice Landau gauge gluon and ghost propagators
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Gluon mass scale through nonlinearities and vertex interplay
• Complex poles and spectral function of Yang-Mills theory
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• Yang-Mills correlators across the deconfinement phase transition
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Second order gluon polarization for SU(N) theory in linear covariant gauge
• Why Might the Standard Large $N$ Analysis Fail in the O($N$) Model: The Role of Cusps in the Fixed Point Potentials
• Epsilon expansion for infrared Yang-Mills theory in Landau gauge
• Reconstructing confined particles with complex singularities
• Lattice three-gluon vertex in extended kinematics: planar degeneracy
• Influence of Gribov ambiguities in a class of nonlinear covariant gauges
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• On the computation of the spectral density of two-point functions: complex masses, cut rules and beyond
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• A novel background field approach to the confinement-deconfinement transition
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• Gribov copies, avalanches and dynamic generation of a gluon mass
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Reflection positivity and complex analysis of the Yang-Mills theory from a viewpoint of gluon confinement
• The finite $N$ origin of the Bardeen-Moshe-Bander phenomenon and its extension at $N=\infty$ by singular fixed points
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• Some remarks on the spectral functions of the Abelian Higgs Model
• Localized rainbows in the QCD phase diagram
• Variational study of mass generation and deconfinement in Yang-Mills theory
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Quasigluon lifetime and confinement from first principles
• Non-universality in the erosion of tilted landscapes
• On bounds and boundary conditions in the continuum Landau gauge
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• Calculation of the non-perturbative strong coupling from first principles
• Accessing the topological susceptibility via the Gribov horizon
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Covariant variational approach to Yang-Mills Theory: effective potential of the Polyakov loop
• A Gribov-Zwanziger type action invariant under background gauge transformations
• BRST invariant RG flows
• Physical unitarity for a massive Yang-Mills theory without the Higgs field: (I) A perturbative treatment
• Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
• Symmetry restoration and the gluon mass in the Landau gauge
• Novel sum rules for the three-point sector of QCD
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Yang-Mills ghost propagator in linear covariant gauges
• Gluon dynamics from an ordinary differential equation
• On a renormalizable class of gauge fixings for the gauge invariant operator $A_{\min }^2$
• Gluon mass scale through the Schwinger mechanism
• Universal scaling of gluon and ghost propagators in the infrared
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• QCD mesonic screening masses using Gribov quantization
• Physical spectrum from confined excitations in a Yang-Mills-inspired toy model
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Small parameters in infrared QCD: The pion decay constant
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• On the complex structure of Yang-Mills theory
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• A nonperturbative construction of massive Yang-Mills fields without Higgs fields
• The Podolsky propagator in gap and bound-state equations
• The Nielsen identities in screened theories
• Renormalizability of $\mathcal{N}=1$ super Yang-Mills theory in Landau gauge with a Stueckelberg-like field
• Confined gluon from Minkowski space continuation of PT-BFM SDE solution
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• Low momentum propagators at two loops in gluon mass model
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Dynamically massive linear covariant gauges: setup and first results
• Schwinger-Dyson truncations in the all-soft limit: a case study
• Analytic continuation and physical content of the gluon propagator
• The gluon mass generation mechanism: a concise primer
• Incompleteness of the large-$N$ analysis of the $O(N)$ models: Nonperturbative cuspy fixed points and their nontrivial homotopy at finite $N$
• Intrinsic Glue and Wilson lines within Dressed Quarks
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Finite temperature corrections to a NLO Nambu-Jona-Lasinio model
• Renormalizability of the center-vortex free sector of Yang-Mills theory
• QCD phase diagram from the gluon propagator at finite temperature and density
• Heavy quark dynamics via Gribov-Zwanziger approach
• Screened massive expansion of Schwinger-Dyson equations
• Study of a gauge invariant local composite fermionic field
• Non-Abelian extension of the aether term and the Gribov problem
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge
• Double non-perturbative gluon exchange: an update on the soft Pomeron contribution to pp scattering
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Background Effective Action with Nonlinear Massive Gauge Fixing
• A window on infrared QCD with small expansion parameters
• Three-gluon vertex in Landau-gauge from quenched-lattice QCD in general kinematics
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Towards a unified viewpoint of Gribov--Zwanziger and Serreau--Tissier gauge fixing
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• A perturbative approach to the confinement-deconfinement phase transition
• Patterns of gauge symmetry in the background field method
• Gauge invariant spectral analysis of quark hadronization dynamics
• Complex poles, spectral function and reflection positivity violation of Yang-Mills theory
• On the contribution of different coupling constants in the infrared regime of Yang-Mills theory: a Curci-Ferrari approach
• Mass-deformed Yang-Mills theory in the covariant gauge and its gauge-invariant extension through the gauge-independent BEH mechanism
• Reconstructing propagators of confined particles in the presence of complex singularities
• Running mass of the gluon propagator in the Landau gauge
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Thermal quarks and Polyakov loops in two-color dense QCD
• Physical unitarity of a massive Yang-Mills theory without the Higgs field from a viewpoint of confinement
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma
• One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
• The scalar sunset diagram at finite temperature with imaginary square masses
• Correction to Nambu-Jona-Lasinio model from QCD at the next-to-leading order
• Linking continuum and lattice quark mass functions via an effective charge
• Screened massive expansion of the quark propagator in the Landau gauge